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Estimating the normal of a point requires constructing a local patch to provide center-surrounding context, but determining the appropriate neighborhood size is difficult when dealing with different data or geometries. Existing methods…

Computer Vision and Pattern Recognition · Computer Science 2025-11-27 Qing Li , Huifang Feng , Kanle Shi , Yue Gao , Yi Fang , Yu-Shen Liu , Zhizhong Han

Federated Parameter-Efficient Fine-Tuning (Fed-PEFT) enables lightweight adaptation of large pre-trained models in federated learning settings by updating only a small subset of parameters. However, Fed-PEFT methods typically assume a fixed…

Machine Learning · Computer Science 2026-04-13 Feng Yu , Jia Hu , Geyong Min

Nowadays many real-world datasets can be considered as functional, in the sense that the processes which generate them are continuous. A fundamental property of this type of data is that in theory they belong to an infinite-dimensional…

Machine Learning · Computer Science 2023-05-23 María Barroso , Carlos María Alaíz , Ángela Fernández , Jose Luis Torrecilla

Advancements in modern science have led to an increased prevalence of functional data, which are usually viewed as elements of the space of square-integrable functions $L^2$. Core methods in functional data analysis, such as functional…

Methodology · Statistics 2025-09-03 Su I Iao , Hans-Georg Müller

We introduce FDApy, an open-source Python package for the analysis of functional data. The package provides tools for the representation of (multivariate) functional data defined on different dimensional domains and for functional data that…

Mathematical Software · Computer Science 2025-03-10 Steven Golovkine

Federated Learning (FL) offers a decentralized approach to model training, where data remains local and only model parameters are shared between the clients and the central server. Traditional methods, such as Federated Averaging (FedAvg),…

Machine Learning · Computer Science 2025-02-12 Jiahao Lai , Jiaqi Li , Jian Xu , Yanru Wu , Boshi Tang , Siqi Chen , Yongfeng Huang , Wenbo Ding , Yang Li

Fault Localization (FL) is an important first step in software debugging and is mostly manual in the current practice. Many methods have been proposed over years to automate the FL process, including information retrieval (IR)-based…

Software Engineering · Computer Science 2021-01-18 Nima Miryeganeh , Sepehr Hashtroudi , Hadi Hemmati

Functional principal component analysis (FPCA) could become invalid when data involve non-Gaussian features. Therefore, we aim to develop a general FPCA method to adapt to such non-Gaussian cases. A Kenall's $\tau$ function, which possesses…

Methodology · Statistics 2021-08-18 Rou Zhong , Shishi Liu , Haocheng Li , Jingxiao Zhang

Imbalanced classification tasks are widespread in many real-world applications. For such classification tasks, in comparison with the accuracy rate, it is usually much more appropriate to use non-decomposable performance measures such as…

Machine Learning · Computer Science 2021-03-16 Junru Luo , Hong Qiao , Bo Zhang

With the integration of distributed energy resources and the trend towards low-inertia power grids, the frequency and severity of grid dynamics is expected to increase. Conventional phasor-based signal processing methods are proving to be…

Signal Processing · Electrical Eng. & Systems 2024-07-01 Alexandra Karpilow , Asja Derviskadic , Mario Paolone

Fractal interpolation functions (FIFs) generated using iterated function systems (IFS) provide a powerful framework for modeling self-similar and irregular data, yet traditional constructions often neglect geometric fidelity such as…

Numerical Analysis · Mathematics 2026-02-03 K R Tyada

We describe Fibres of Failure (FiFa), a method to classify failure modes of predictive processes using the Mapper algorithm from Topological Data Analysis. Our method uses Mapper to build a graph model of input data stratified by prediction…

Computer Vision and Pattern Recognition · Computer Science 2018-03-02 Leo Carlsson , Gunnar Carlsson , Mikael Vejdemo-Johansson

Parameter-Efficient Fine-Tuning (PEFT) methods achieve performance comparable to Full Fine-Tuning (FFT) while requiring significantly fewer computing resources, making it the go-to choice for researchers. We find that although PEFT can…

Machine Learning · Computer Science 2025-05-29 Yongkang Liu , Xingle Xu , Ercong Nie , Zijing Wang , Shi Feng , Daling Wang , Qian Li , Hinrich Schütze

In the realm of face image quality assesment (FIQA), method based on sample relative classification have shown impressive performance. However, the quality scores used as pseudo-labels assigned from images of classes with low intra-class…

Computer Vision and Pattern Recognition · Computer Science 2025-05-07 Minsoo Kim , Gi Pyo Nam , Haksub Kim , Haesol Park , Ig-Jae Kim

Fiber bragg gratings (FBG) has wide variety of applications in sensor and laser devices. In this work, we have fabricated FBG using point by point (PbP) technique utilizing fs laser. FBGs spectral characteristics were explored through the…

Optics · Physics 2022-10-14 Abu Farzan Mitul , Bohan Zhou , Huiyu Zhao , Ming Han

Motivated by risk assessment of coastal flooding, we consider time-consuming simulators with a spatial output. The aim is to perform sensitivity analysis (SA), quantifying the influence of input parameters on the output. There are three…

The complexity of continuous piecewise affine (CPA) functions can be measured by the number of pieces $p$ or the number of distinct affine functions $n$. For CPA functions on $\mathbb{R}^d$, this paper shows an upper bound of $p=O(n^{d+1})$…

Combinatorics · Mathematics 2025-03-17 Leo Zanotti

We investigate the numerical implementation of functionally graded properties in the context of the finite element method. The macroscopic variation of elastic properties inherent to functionally graded materials (FGMs) is introduced at the…

Computational Physics · Physics 2019-01-18 Emilio Martínez-Pañeda

Measurement error is an important problem that has not been very well studied in the context of Functional Data Analysis. To the best of our knowledge, there are no existing methods that address the presence of functional measurement errors…

Statistics Theory · Mathematics 2018-09-19 Sneha Jadhav , Shuangge Ma

We propose a new fast generalized functional principal components analysis (fast-GFPCA) algorithm for dimension reduction of non-Gaussian functional data. The method consists of: (1) binning the data within the functional domain; (2)…

Methodology · Statistics 2023-06-06 Andrew Leroux , Ciprian Crainiceanu , Julia Wrobel
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